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math.NA2024
Eigenvalue backward errors of Rosenbrock systems and optimization of sums of Rayleigh quotient
Ding Lu, Anshul Prajapati, Punit Sharma +1
We address the problem of computing the eigenvalue backward error of the Rosenbrock system matrix under various types of block perturbations. We establish computable formulas for t…
math.NA2019
Nearest matrix polynomials with a specified elementary divisor
Biswajit Das, Shreemayee Bora
The problem of finding the distance from a given matrix polynomial of degree to the set of matrix polynomials having the elementary divisor $(λ-λ_0)^j, \, j \geqsl…
math.NA2018
Vector Spaces of Generalized Linearizations for Rectangular Matrix Polynomials
Biswajit Das, Shreemayee Bora
The seminal work by Mackey et al. in 2006 (reference [21] of the article) introduced vector spaces of matrix pencils, with the property that almost all the pencils in the spaces ar…